Derived Equivalences for Group Rings
Author | : Steffen König |
Publisher | : Springer |
Total Pages | : 256 |
Release | : 2006-11-14 |
ISBN-13 | : 9783540697480 |
ISBN-10 | : 3540697489 |
Rating | : 4/5 (89 Downloads) |
Download or read book Derived Equivalences for Group Rings written by Steffen König and published by Springer. This book was released on 2006-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.